A well with 10 m diameter is dug 14 m deep. Earth taken out of it is spread all around to form an embankment of width 5 m. Find the height of the embankment.

Explanation

Diameter`=10m`
Radius`=5m`
Height`=14m`
Width of embankment`=5m`
Inner radius`=5m`
Outer radius`=5+5=10m`
Let the height of embankment be `h`
Volume of the cylinder`=`Volume of the hollow cylinder
`pir^2 h=pi(R^2-r^2)h`
`=22/7xx5xx5xx14=22/7xx(10^2-5^2)h`
`25xx14=(100-25)h`
`25xx14=75h`
`h=14/3`
`h=4.66m`